M=x2+xy+y2+1 N=x2-2xy+2y2-1/2 tính M+N M-N Question M=x2+xy+y2+1 N=x2-2xy+2y2-1/2 tính M+N M-N in progress 0 Môn Toán Trung Dũng 5 years 2021-05-20T00:26:01+00:00 2021-05-20T00:26:01+00:00 2 Answers 39 views 0
Answers ( )
Đáp án:
Ta có: M+N=(x2+xy+y2+1)+(x2-2xy+2y2-1/2)
=x2+xy+y2+1+x2-2xy+2y2-1/2
=(x2+x2)+(xy-2xy)+(y2+2y2)+(1-1/2)
=2×2-xy+3y2+1/2
Ta có: M-N=(x2+xy+y2+1)-(x2-2xy+2y2-1/2)
=x2+xy+y2+1-x2+2xy-2y2+1/2
=(x2-x2)+(xy+2xy)+(y2-2y2)+(1+1/2)
=3xy-y2+3/2
Đáp án + Giải thích các bước giải:
`M + N = x^2 + xy + y^2 + 1 + x^2 – 2xy + 2y^2 – 1/2` $\\$ `= 2x^2 -xy+3y^2+1/2`
`M – N = x^2 + xy + y^2 + 1 – (x^2 – 2xy + 2y^2 – 1/2)` $\\$ `= x^2 + xy + y^2+1-x^2+2xy-2y^2+1/2` $\\$ `= 3xy – y^2 + 3/2`